Surveying device



l- LA J Nov. 29, 1955 v. sroLl. 2,724,899

SURVEYING DEVICE Filed June 7, 1947 4 sheets-sheet' 1 l? 51 .sa 5f f \\mun INVENTOR Nov. 29, 1955 v. sToLL 2,724,899

SURVEYING DEVICE lllll -...ulm

Illlii Ulf INVENTOR 4 Sheets-Sheet 3 Filed June 7, 1947 INVENTOR fw 1Z0/l im ATTORNEYS Nov. 29, 1955 v. sToLL SURVEYING DEVICE 4 Sheets-Sheet 4 Filed June 7, 1947 IN1/Emol@ Vc'ror Stoll M/MW S4 sas se S5 F|G.|5

A'rrornev United States Patent SURVEYING DEVICE Victor Stoll, New York, N. Y.; Sima Stoll, executrix of the estate of said Victor Stoll, assignor of one-hait to Milton Stoll, New York, N. Y.

Application June 7, 1947, Serial No. 753,271

14 Claims. (Cl. 33-174) This invention relates to a surveying and centering device consisting of two elements, one upper and one lower, in which is incorporated a spherical sector having an automatically iixed and constant center, three dimensional orientation planes, convex and concave congruent surfaces at a distance of four inches from the center laid out on a liexible strip; two intersecting vertical planes, the median and transverse, each plane graduated to scale from the central axis of intersection of the two vertical planes, which axis is the diameter of the sphere, and a three point spherical divider.

The device of the invention, embodying in one instrument, all the above mentioned features is Well adapted to be utilized to determine the geometric design of the human dental apparatus and to survey the parts of the same. Each arch, upper or lower, can be surveyed separately and symmetry or asymmetry determined and therefore its normality or its deviation from normal, established. It ideally serves to disclose the natural normal geometric design of a dental arch or" which the teeth form the outline of the arch or the outline of the ridges in an edentulous case. The device has also a means which can be used to attach the same with modelling compound to the dental cast after it has been surveyed and carried into a dental surveyor and coordinator of the type disclosed in my pending application, Serial No. 745,307 tiled May l, 1947, to harmonize with the center and planes of such surveyor and coordinator. It can also be inserted, for purposes of stabilization, into any vertical bushing of any frame.

After the cast is attached with plaster to the model holders of the dental surveyor and coordinator, the surveying and centering device of the present invention can be removed and the dental castsleft in proper relationship to the center and orientation planes of the surveyor and coordinator which then represents the center and orientation planes of the dental mass.

It is recognized today that in all dental restorations, the fundamental goal sought by the dental practitioner is balanced occlusion, the way it is found in the normal natural dentition. Only when there is balanced occlusion, which means contact between the occlusal surfaces of the upper and lower teeth in any position of the lower jaw in relation to the upper jaw, in centris and in eccentric lateral positions, are normal physiological functions of the human dental apparatus possible. In an unbalanced occlusion or malocclusion, there is always trauma due to pathological mechanics which causes the destruction of the elements of the dental mechanism. Normal functioning of the human dental machine is impossible without the proper structural arrangement of all the parts in correct alignment. Structure and function are interdependent. This concept is the basis for diagnosis and the guide for all dental operations in dental mechanics.

The primary object in diagnosis of the human dental mechanism, for the purpose of obtaining balanced occlusion, is the analysis for its structural design and the correct position of each element of it therein. Only when `vertical planes, the median and transverse.

. 2,724,899 Patented Nov. 29, 1955 e" ICC ment at present which carries out this approach and therefore the results are inaccurate.

It is therefore the main object of this invention to pro-v vide a surveying device with a collection of elements of geometric nature, which will enable the dentist simul taneously to nd the geometric form of the architecture of a dental arch with all its `structural elements in detail and with precision. matically the center of the curvature of a sphere ofl a four inch radius on the Celluloid strip (or any other exible strip) which can be adapted by the sliding posts in the device on a concentric slotted rib to any shape of a dental arch, always, however, maintaining the same center. The four inch radius is the normal, accepted radius of the human dental arch, both of adult and child, the arch of the latter occupying smaller area of a spherical sector but being of the same curvature.

Two circular slotted ribs of my device, being attached to each other perpendicularly, give automatically the two The intersection ot' these two planes forms the central axis of the device and represents the radius of a sphere. The tangent to this sphere at this radius which forms the central axis is the horizontal plane of the surveyor` and coordinator. The dental cast is located in this system of coordination, the three above mentioned planes being reference planes when the adjustable strip is conformed to a natural line on the teeth of the dental arch. Any natural line can be used, for example, the line of the grooves, the line of the tips of the cusps or theridge line in endentulous cases. Any.

to locate with precision, outside of the mouth of` the:

patient, on a dental cast made from the patients teeth,

the exact normal outline of the upper and lower dental.v

arches and indicate the corrections necessary to` bring either dental arch into normal alignment with the other Another object of this invention is to provide a survey.- ing device which may be used in any art wherein it is necessary to plan in accordance with three dimensional planes such as sculpturing, for example. v

Another object of this invention is to provide a device which can correctly determine the structural arrangement of all the parts of the human dental mechanism in balanced occlusion. Other objects and advantages will appear from the following description considered inconnection with the accompanying drawings: A

Fig. l is a side View of the surveying and centering device partially in section carrying the lower cast to which it is attached with modelling compound and is mounted in the center of the surveyor and coordinator referred to,

thus orienting the lower cast correctly with its center of planes of the.

Such surveying device gives auto-- to provide a of the surveying and centering- Fig. 3 -is a plan view of the surveying and centering device shown -in Fig. 2.

Fig. 4 is a Celluloid strip for the upper member of the device and the lower jaw showing the layout of the individual teeth 'of 'the dental .ar-ch, and conforming to -a spherical surface -of a four inch radius.

Fig. 5 is an elevational View of the surveying -centering device mounted within the base of the surveyor and coordinator partially in sect-ion and holding an upper model cast with the lower -part of kthe device and or-ienting the uppercast with its convex curvature and orientation planes in harmony with the center and orientation planes of the surveyor and coordinator.

Fig. 6 is an elevational View of the upper "surveying device partially `in section and mounted on the base of -the surveyor and coordinator and vcarry-ing the lower dental cast and attached with plaster to the lmodel holder plate of the surveyor and coordinator.

Fig. 7 `is an elevational view o'f the surveying device shown in Fig. 5 with 'the upper model holder plate in section.

Fig. 8 is a partial sectional view of Fig. 7 taken along the lines 8 8.

Fig. 9 Yis a perspective side View of the upper and lower surveying devices positioned in the supporting frame.

Fig. 150 is a completed set up of a full upper and lower case derived pattern 'from the surveying -device shown in Fig. 9.

Fig. 11 is the vfront viewof a human skull showing how the dental mass is located in the skull relative to a spherical sector;

Fig. 12 is a side view thereof;

Fig. 13 i's'a plan view of the segmentof a sphere showing the lines on the sphere where the bottom edge Iof the strip would lie in the sphere in their vdifferent positions of the strip;

Fig. 14 yis a side view thereof;

Fig. 15 isa -front view thereof;

Fig. 16 is a perspective view of a spherical sector.

Referring now to the drawings and Ain particular to the surveying device shown in Figs. 1, 2, 3 and 4, this surveying -device comprises a bushing 1 `having a disc-like shoulder 2 thereon. Drilled through `the center of said bushing 1 vis an aperture adapted lto receive 'a rod 4 which is slidable within said aperture yof said bushing 1. A tightening screw 5 is screwed through the side wall 6 of said bushing 1 to make friction contact with said slidable rod 4 in order to hold it in position within said aperture 3. Spaced 90 apart around said bushing -1 are ribs 8 and 9 which extend outwardly from `the outer `wall 6 'of said bushing 1. Any convenient scale markings maybe used on .said rlibs A8 and 9 with the scale markings starting at zero .in the vmiddle of said aperture 3 lof said vbushing 4. Along the length of saidgribs 8 and 9 are grooves 10 which run through-said ribs 8 and 9 `and are adapted to receive thethreaded thin ends of slidable rods 11 said rods 11 having an enlarged vportion 13 with a sl'ot 14 therein. A washer .15 .encompasses the enlarged portion 13 of said rods .11 and a .locking nut 16 is -threaded'on the threaded thin ends 12 in such a manner that the ribs 8 and 9 are pinched .between said washers 15 and :said `locking nuts 16 tohold said 4rods 11 in 1a .predetermined position along the grooves 10 of .said -respectiveribs `8 and 9. A flexible strip 17 vmade -of Celluloid or other suitable material -is cut in the shape of aportion of the area between two concentric circles; the outer circle being of the radius yof the spherical sector desired to be incorporated in .the device. The strip 17 is adapted .to fit within said slots 14 of said enlarged portion of said rods 11. Said exible strip 17 has spaces 18 indicated by llines 19 on its outer surface 20 to indicate .the normal relative position .of the teeth in `the vhuman dental arch. Said flexible .strip is held within the slots 14 of said rods 11 .by means of lock screws 21 and may be ,removed by kbacking up said lock screws 2'1. "When said exible strip 17 is fitted within the three Cil slots 14 as shown in Fig. 3, said ilexible strip 17 forms the outline of the upper or lower dental arch depending on the position in which it isplaced. An L-shaped looped rod 22 having its elongated ends 23 threaded and thrust through the openings 24 in said shoulder 2 of said bushing 1, is held to said shoulder 2 by means of knurled nuts 25 tightened on the threaded ends 23 of said L-shaped looped rod 22. The looped portion 26 of said L-shaped looped rod 22 is adapted to support an upper or lower model cast 27 of the teeth 28 lin a manner which will be described hereinafter.

Referring now to the surveying device shown in Figs. 5 and 7 of the drawings, the' surveying device is shown attached to the base 29 of said supporting frame 30 instead of the rod 4 of the exible gimbal 31 as shown in Fig. l. This arrangement is used when the upper dental apparatus is to be surveyed.

Said base 29 has a centering line 32 marked thereon which Ais lused as fa guide yfor the surveying device. A receptacle 33 has a threaded hollow shaft 34 passing therethrough. 'Sa-id threaded'hollow shaft 34has two opposing recesses 35 filling into a slot of the coordinator to prevent said vshaft 34 from rotating within the aperture 36 in the base 29. Jutting out lfrom the front of said receptacle 33 is a lpointer "37 which is used to line up the surveying device with the centering line 32 on the base 29. A lknurled lknob 38 having a shoulder 39 is adapted to 4thread unto said shaft 34 and tighten said indicating bushing 33 to the base 29. A shaft 4t) -is fitted within said bushing 1 Yof the surveying device and is adapted to slide freely within the aperture 41 of said hollow shaft 34 and thus raise and lower said surveying device to a predetermined position. Said shaft 34 may be locked in position by means of a knurled headed screw which screws into an opening in said receptacle 33 opposite the position fo'f the pointer 37 jutting from the front of said bushing 33.

An upper plate 43 is adapted to hold plaster yof Paris 44 so that the Amold cast 27 lof either the upper or lower dental Aapparatus may be held firmly in rsaid plaster oi Paris mold 44. A modeling compound A45 is employed to hold the dental mold cast 27 to the l.shaped 'looped rod 22 -of the surveying device when the correct position is established.

In order to provide the proper alignment of said plaster of Paris holding plate 43, a group of leveling screws 46 thread through said base 329 and into the plate 43 and the plaster of Paris 44 to level said plate 43 when the lower model cast is being used in connection lwith the surveying device as sh'own in Fig. 6.

In Fig. .9, the upper and lower surveying devices are shown lined Vup in position which is the theoretic center line .of the dental mass. The spheric line of the teeth edges 'is shown theoretically by the curved lower surface 47 of the upper exible strip 1-'7 in contact with the cu1ved upper surface 48 of said -lower flexible strip 17.

In Fig. 10 ythe completed set up of a full upper and lower case 49 and 50 shown yin the derived pattern obtained from the theoretical positions established in Fig. 9.

The operation-of the device in as follows:

In surveying the dental mass, -the dental practitioner may'start withveither the lower or upper dental apparatus in iinding the center position and then match and line up the other dental structure with it. Using the upper surveying device of Figs.. 1 and 2, in connection with the lower dental model cast 27, the surveying device is locked into the rod 4, of the adjustable frame 30 which is fully described in my application iiled concurrently herewith, by means 'of the locking screw 5 which is tightened against the rod 4 after it has been inserted to the correct depth in the aperture v3 of the bushing 1. A lower model cast 27 of the patients .teeth .28 .is now set in a plaster of Paris compound 44 `held rrnlyiin plate holder 43. Rod 41's now lowered until the Hexible .strip 17 ofthe surveying .device comes in .contact with the teeth 28 .in the model cast 27.

The front pointer 13 is placed directly between the two central incisor teeth 28 and the lower edge 47 of said flexible strip 17 will fall along the outer ridge of the teeth 28 of said lower dental arch. When this position is found, a bit of modeling compound 45 is melted around the looped portion 26 of the L-shaped looped rod 22 and permitted to solidify, which results in the model cast Z7 and the plate t3 being held rmly to said L-shaped looped rod 22 and thus said apparatus is held in position for further examination and study.

Loosening the tightening nuts 16 on the rod 11, said enlarged portion 13 of said rod 11 which holds said ilexible strip 17 in position, may be moved within the grooves 10 of the rib 8 or 9. This adjustment permits the dentist to move said flexible strip 17 to conform with the arch of the teeth 28 under examination. After the ilexible strip 17 has been adjusted to follow the outer line of the patients teeth, then the dentist can tell by the readings of the scale along the ribs S and 9 the extent of the teeth deviations away from the normal and what corrective measures must be taken.

In addition to the horizontal alignment of the teeth, the markings 19 on said flexible strip 17 will show wherein any of the teeth are tilted out of line and the amount of encroachment on neighboring teeth.

Also, the spherical curve of the lower surface 47 of said exible strip 17 will indicate which teeth are off this spheric line in that they are too high or too low in comparison with the normal teeth from which said spheric line was derived. Said teeth may then be built up to meet this spheric line if too short or ground down if too long.

When all corrections have been adjusted to the normal spheric curve, the modeling compound 45 is melted and the surveying device removed from the model cast 27 which is now attached firmly to the base 29 of the supporting frame 3@ as shown in Fig. 6. The supporting frame 31 is now tilted up on its axis and the surveying device is removed from the rod 4 by backing up the tightening screw in the bushing 1. The upper model cast Z7 of the patients teeth is now placed in the plaster of Paris holding plate 43 and the whole set up is suspended from the rod 4 in such a position that said upper teeth are lined up as much as possible with the corrected teeth in the lower dental arch.

By comparing the position of the upper with the lower teeth, the dentist can now make the necessary survey and correction of the upper teeth to bring them on the spheric line set by the corrected lower teeth.

As the necessary corrections are being made, the versatile movements of the rod 4 and its activating mechanism of the supporting frame 30 enable the dentist to move said upper model teeth over the lower model teeth in the natural movements of the human jaws and thus disclose to him wherein corrections are necessary to obtain the normal occlusion of said teeth as shown in Fig. of the drawings.

if the upper dental apparatus of the patient is in better condition than the lower set, then the dentist may use the surveying device attached to the base 29 of said frame 30 and adjust said tiexible strip 17 to conform with the dental 60 arch of the upper teeth in much the same manner as set forth above. This set up is shown clearly in Figs. 5 and 7 and here the dental mass is suspended from the rod 4 and axed to the L-shaped looped rod 22 when the exact center of the dental mass is located. Then the lower model cast 27 is adjusted to conform with the position of the upper cast 27 after the surveying device has been removed as described above.

As will be seen from the above description, the invention discloses a surveying device which enables the dental practitioner to iind the normal center of the dental mass by mathematical precision from whichpcomparison and inspection of deviations may be readily ascertained.

In addition, said invention discloses to the dentist the correct and incorrect occlusion of the upper and lower dental apparatus and enables the dentist to make'necessarjf corrections and adjustments outside the mouth of the patient.

While in disclosing the principles of my invention and its preferred embodiment, I have described various detailed structure and relationship, it will be understood that such embodiment and details are given by way of example only and not as limiting the scope of my invention.

As can be noted from Figs. 11 and 12 the dental mass of the skull is formed by nature to lie in a spherical sector Z. It is therefore appropriate that such a geometrical figure be used as a reference system in analyzing and prescribing the various corrections necessary to bring a malformed dental structure into the proper relationship with the skull and with itself. The device embodying the present invention does just this.

A spherical'sector is shown in Fig. 16. The slant height of the cone h being the radius of a sphere and the base or cap, b being the segment of a sphere of a radius equal to the slant height of the cone; the apex of the cone being the center of the sphere. The strip 17, as can be seen in Fig. 1l represents the portion of the area between two concentric circles; the outer circle being of the radius of the spherical sector desired to be incorporated in the device.

The essential curvature of the strip 17 is in the outer or terminal edge thereof which comes into contact with the model or case of the dental structure. It is important that this outer edge be curved in the shape of a portion of a circle. The inner edge could be straight but in order that the strip be more easily bent to the proper configuration Vand in order to facilitate its being supported by the rest of the device, this inner or upper edge is also in the shape of a portion of the sphere.

This strip 17 can be laid out on a cone and becomes a portion of the side of the frusturn of a cone. As has been pointed out previously the human dental arch lies in a four inch sphere. For this reason the basic spherical sector which is incorporated into this instrument is a sector of a four inch sphere.

In the instrument the strip 17 is physically held on the surface of a four inch sphere by the portions 13 of rods 11. The rods 11 move on ribs 8 and 9. These ribs are in the shape ofa portion of the circumference of a three inch sphereconcentric with the four inch sphere, and the length of the portions 13 of the rods 11 is one inch. Thus the lower tips of the portions 13 of the rods 11 alwaysare positioned on the surface of a four inch sphere. If the strip 17, when used, is positioned with its lower edge touching the lower points of the portion 13, it will be y,positioned on the surface of a four inch sphere. However, if a wider strip is used the reference sphere embodied in the instrument will change size. If a wider strip is used on the instrument for positioning and surveying the lower arch, the sphere will be increased in radius,while a wider strip used on the instrument used for surveying and positioning the upper arch will decrease the radius.

Figs. 13, 14 and 15 show the positions of the lower edge of the strip as it is bent to conform to a different width of dental arch; line A shows a narrow arch, line B a ,medium width arch and line C a wide arch. As these strips are bent to conform to the different width arches A, B, and C their three points held on the surface of a sphere S by rods 11, thus the entire lower edge of the strip will conform to a curved line on the surface of a sphere.

:3, These linescan represent the line of the grooves, the tips of the cusps, the gingival line, or the ridge line in edentulous cases. Figs. 14 and 15 show respectively the side and front View of the line position of the lower edge of the strip and show how it conforms to the surface of the sphere 5. lt should be noted that the narrower the arch the more accentuated the curve from the horizontal planes. That this should be so can be appreciated from Fig. 13. The concentric circles, S1 through Ss, represent lines of uniform depth on the surface of the sphere the smaller the circle the deeper the line. It can therefore be seen that .the line A which crosses the highest line S1 .and goes over Ss, a line lower than any crossed by lines B and C, Will have the most accentuated curve out of the hor-- zontal plane.

It should be noted Athat there are three reference planes built into the device. Two are vertical planes, the median and transverse, represented by the ribs 8 and 9, and there is a horizontal plane represented by the plane tangent to the sphere .at the point of intersection of the two vertical planes whichis the diameter of `the sphere, which forms the central .axis of the instrument.

lt .should also be noted that by markings 19 on the strip the proper ;position of the teeth around the length of the arch 4can be ascertained. If the teeth of the patient overlap, their proper position in the 4arch and the exact .length of arch that will be occupied by vthe teeth when they .are finally properly positioned can vbe accurately and readily determined prior .to any remedial steps being done bythe dentist. The dentist is .provided with a set of these strips; the scale markings including a graduation of sizes of teeth. By measuring one .or two teeth he can then know what scale he ,needs and .select .the proper strip.

I claim:

1. A surveying device comprising a frame having .a plurality of arcuate arms extending radially .from a .common point, with all .of said arms conforming to the arc of 4a common sphere; a Iplurality of elongated members, with one thereof mounted 4on each of said .arms Afor arcuate movement .and with .the longitudinal axis of the member directed toward the `center of said sphere, vand each .of said members being slotted from one end thereof toward its :related arm, with the slot including the longitudinal axis of the member; and a bent strip mounted within the slots of said members, said strip having an arcuate edge registered with the slotted ends .of said members.

V2. The surveying device oi claim 1 wherein each arm iscalibrated indegrees of arc.

'3. The surveying .device of vclaim 1 including ,means for mounting a replica of the dentition of one jaw on vsaid frame with the biting edge of said replica adjacent the slotted ends of said members.

4. "Ihe surveying device of claim 1 wherein the radius of curvature of each arcuate .arm is such that the slotted end of its related member is approximately .four inches from the-center of said sphere and wherein the radius of curvature of the arcuateredge of saidstrip is approximately four inches.

5. The surveying deviceof kclaim 1 wherein the radius of curvature of each ,arcuate arm is such .that the slotted end of its .related member is a predetermined distance from the center of said sphere and wherein the radius yof curvature of the arcuate .edge of said strip is equal to said distance.

6. A surveying .device comprising a main frame; an auxiliary frame havinga plurality of arcuate arms Vextending radially from a common point, with all of said .arms conforming tothe arc `of a .common sphere; a pluralityof elongated members, with one thereof mounted on .each of said .arms for arcuate movement and with the longitudinal axis of .each .member directed toward the center of said sphere, .and each of said members being Yslotted from one lend thereof towardits related arm, with Athe vslot including the longitudinal axis ofthe member; a b ent strip mounted within the slots of said members, saidstrip having an arcuate edgeregistered with theslotted ends of said members; and ymeans for mounting said auxiliary frame on said main frame .in va predetermined relationship thereto.

7. A surveying device comprising a frame Ihaving at least three fixed arcuate arms extending radially fr-m a common point, with one of said arms being centrally diS- posed with respect to the other arms, andall of said arms conforming tothe arc of va `common sphere; a plurality of elongated members, with one thereof mounted on each of :said arms for arcuate movement and with the longitudinal axis .of each member directed toward the center of said sphere, and `each .of .said members being slotted from one .end thereof toward its related arm, with the slot includin g the longitudinal .axis tof the member; and a bent strip mounted within the slats of said members, said strip having an arcuate edge registered with the slotted ends of said members.

8. A dental surveying device comprising a frame having .a plurality of ,arcuate arms ,extending radially from a common point, with all Iof `said arms conforming vto arc of a common sphere; 2.1 Aplurality of elongated members, with one .thereof mounted .on each of said arms for arcuate movement and with ,the longitudinal axis of each member directed .toward the center .of said sphere; and means for mounting a replica of .the .dentition of one jaw on said frame with .that -edge of said replica which opposes ,the dentition ,of .the cooperating jaw adjacent the ends .of ,said members.

9. The dental surveying device of claim 8 wherein each arm is calibrated in degrees of arc.

l0. The dental surveying device of claim 8 wherein the radius of curvature of each .arcuate arm is such that ends of their related members .are approximately four inches from the .center of said sphere.

1l. The dental ,surveying .device of claim 8 including means for locking said members ,at selected positions on their .related `arcuate arms.

12. A dental surveying device comprising a frame having `a plurality .of arcuate Aarms `extending radially from ,a common point, with all of said arms conforming to ,the arc .of a ,common sphere; a yplurality of elongated members, with one thereof mounted on each of said arms for arcuate movement ,and with one end and the longitudinal axis of each .member directed toward the center Aof said sphere.; another frame; and means for mounting said device and a Areplica ofthe dentition of one jaw .on said other frame with that edge of said replica which V.opposes the dentition of the cooperating jaw yin oppositionto the ends of said members.

13. The .surveying device of claim 1, another frame; and means for mounting said device anda replica of the dentition of one jaw on said other frame in a predetermined relationship thereto.

14. The `surveying device of claim 1 including means for mounting a replica of the dentition of one jaw on said frame with the biting `edge of said replica adjacent the slotted ends of Vsaid members; another frame; and means 'for mounting s aid device vand replica on said other framein alpredetermined .relationship thereto.

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